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Endemic infections are always possible on regular networks

Charo I. Del Genio and Thomas House
Phys. Rev. E 88, 040801(R) – Published 25 October 2013

Abstract

We study the dependence of the largest component in regular networks on the clustering coefficient, showing that its size changes smoothly without undergoing a phase transition. We explain this behavior via an analytical approach based on the network structure, and provide an exact equation describing the numerical results. Our work indicates that intrinsic structural properties always allow the spread of epidemics on regular networks.

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  • Received 24 July 2013

DOI:https://doi.org/10.1103/PhysRevE.88.040801

©2013 American Physical Society

Authors & Affiliations

Charo I. Del Genio1,2,3,4,* and Thomas House1,2,3,†

  • 1Warwick Mathematics Institute, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom
  • 2Centre for Complexity Science, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom
  • 3Warwick Infectious Disease Epidemiology Research (WIDER) Centre, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom
  • 4Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, Dresden D-01187, Germany

  • *C.I.del-Genio@warwick.ac.uk
  • T.A.House@warwick.ac.uk

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Issue

Vol. 88, Iss. 4 — October 2013

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